# The logical operator is read if and only if. PQ is defined as being equivalent to

## Question:

The logical operator “↔” is read “if and only if.” P↔Q is defined as being equivalent to (P→Q) ∧ (Q→P). Based on this definition, show that P↔Q is logically equivalent to (P ∨ Q)→ (P ∧ Q):

**a. **By using truth tables.

**b. **By a series of substitutions using the identities on page 51.

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**Related Book For**

## Artificial Intelligence Structures And Strategies For Complex Problem Solving

**ISBN:** 9780321545893

6th Edition

**Authors:** George Luger